Help! I'm so confused :(
1. Supply the missing reasons to complete the proof.
Given: angle Q is congruent to angle T and line QR is congruent to line TR
Prove: line PR is congruent to line SR
Statement | Proof
1. angle Q is congruent| 1. Given
to angle T and line QR |
is congruent to line TR|
2. angle PRG is |2. Vertical angles
congruent to angle SRT | are congruent
3. triangle PQR is |3. ?
congruent to triangle |
SRT |
4. line PR is congruent|4. ?
to line SR
2. Complete the proof by providing the missing statement and reasons
Given: Line SD is perpendicular to HT; line SH is congruent to line ST
Prove: triangle SHD is equal to triangle STD
Statement Reason
1. line SD is |1. Given
perpendicular to line |
HT |
2. angle SHD and line |
SDT are right angles |2.?
3. line SH is congruent|3.?
to line ST |
4. ? |4. reflexive
|property
5. Triangle SHD is |5.?
congruent to triangle |
STD |
Please help me! Thank you!
17 answers
I believe so, hope this helps :)
statement
4. SD and DS are congruent
reasons
2.def. of perpendicular lines
3.given
4.HL theorem or HL postulate (same thing)
2. ∠PRQ ≡ ∠SRT (Reason : Vertical Angles)
3. Δ PRQ = ΔSRT (Reason: ASA)
4. PR ≡ SR (Reason : CPCTC)